2026-06-01T02:20:03Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/232762026-02-03T11:02:31Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Atencia-McKillop, Iván
author
Padilla-Domínguez, Yolanda Carmen
author
Galán-García, José Luis
author
Aguilera-Venegas, Gabriel
author
Rodríguez-Cielos, Pedro
author
Galán-García, María Ángeles
2021-11-25T12:22:27Z
2021-11-25T12:22:27Z
2021-09
https://hdl.handle.net/10630/23276
10.1016/j.cam.2021.113486
We consider a discrete-time Geo/G/1/inf system in which a customer that finishes its first essential service may opt to abandon the system, to receive a second optional service or to go at the head of the queue in order to receive another essential service. We study the Markov chain underlying the considered queueing system and its ergodicity condition. Using a generating function approach the distribution of the number of customers in the queue and in the system as well as their respective means are given.
The busy period of an auxiliary system, that will be useful to study of the customers delay, is analysed. The distributions of the sojourn time of a customer in the server, the queue and the system are provided. In order to illustrate the effect of the parameters on several performance characteristics some numerical examples are given. Finally, a section of conclusions commenting the main research contributions of this paper is presented.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Sistemas de control por retroalimentación
A discrete-time queueing system with three different strategies
journal article
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